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@article{IM2_1984_22_1_a4, author = {V. V. Nikulin}, title = {Involutions of integral quadratic forms and their applications to real algebraic geometry}, journal = {Izvestiya. Mathematics }, pages = {99--172}, publisher = {mathdoc}, volume = {22}, number = {1}, year = {1984}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1984_22_1_a4/} }
V. V. Nikulin. Involutions of integral quadratic forms and their applications to real algebraic geometry. Izvestiya. Mathematics , Tome 22 (1984) no. 1, pp. 99-172. http://geodesic.mathdoc.fr/item/IM2_1984_22_1_a4/
[1] Burbaki N., Algebra. Moduli, koltsa, formy, Nauka, M., 1966 | MR
[2] Cassels J. W. S., Rational quadratic forms, Acad. Press, London, 1978 | MR | Zbl
[3] Eihler M., Quadratishe Formen und orthogonale Gruppen, Springer-Verlag, Berlin, 1952 | MR
[4] Kneser M., “Klassenzahlen indetiniter quadratische Formen in drei oder mehr Veranderlichen”, Arch. Math., 7:5 (1956), 323–332 | DOI | MR | Zbl
[5] O'Meara T., Introduction to Quadratic Forms, Springer Pub., New York, 1963
[6] Nikulin V. V., “Konechnye gruppy avtomorfizmov kelerovykh poverkhnostei tipa K3”, Uspekhi matem. nauk, 31:2 (1976), 223–224 | MR | Zbl
[7] Nikulin V. V., “Konechnye gruppy avtomorfizmov kelerovykh poverkhnostei tipa K3”, Trudy Mosk. matem. o-va, 38, 1979, 73–137 | MR
[8] Nikulin V. V., “Tselochislennye simmetricheskie bilineinye formy i nekotorye ikh geometricheskie prilozheniya”, Izv. AN SSSR. Ser. matem., 43:1 (1979), 111–177 | MR | Zbl
[9] Nikulin V. V., “O faktor-gruppakh grupp avtomorfizmov giperbolicheskikh form po podgruppam, porozhdennym 2-otrazheniyami”, Dokl. AN SSSR, 248:6 (1979), 1307–1309 | MR | Zbl
[10] Nikulin V. V., “O faktor-gruppakh grupp avtomorfizmov giperbolicheskikh form po podgruppam, porozhdennym 2-otrazheniyami. Algebro-geometricheskie prilozheniya”, Sovremennye problemy matematiki. Itogi nauki i tekhniki, 18, 1981, 3–114 | MR | Zbl
[11] Arnold V. I., “O raspolozhenii ovalov veschestvennykh ploskikh algebraicheskikh krivykh, involyutsiyakh chetyrekhmernykh gladkikh mnogoobrazii i arifmetike tselochislennykh kvadratichnykh form”, Funkts. analiz i ego pril., 5:3 (1971), 1–9 | MR
[12] Burns D., Rapport M., “On the Torelli problem for Kalerian K3 surfaces”, Ann. Scient. Ecole Norm. Super, ser. 4, 8:2 (1975), 235–274 | MR
[13] Bredon G., Vvedenie v teoriyu kompaktnykh grupp preobrazovanii, Nauka, M., 1980 | MR | Zbl
[14] Harnack A., “Über die Vieltheiligkeit der ebeben algebraischen Curven”, Math. Ann., 10 (1876), 189–199 | DOI | MR
[15] Gudkov D. A., “Postroenie novoi serii $M$-krivykh”, Dokl. AN SSSR, 200:6 (1971), 1289–1292 | MR
[16] Gudkov D. A., Utkin G. A., “Topologiya krivykh 6-go poryadka i poverkhnostei 4-go poryadka”, Uch. zap. Gorkovskogo universiteta, 87, 1969, 3–213
[17] Gudkov D. A., “Topologiya veschestvennykh proektivnykh algebraicheskikh mnogoobrazii”, Uspekhi matem. nauk, 29:4 (1974), 3–79 | MR | Zbl
[18] Gudkov D. A., Krakhnov A. D., “O periodichnosti eilerovoi kharakteristiki veschestvennykh algebraicheskikh $M-1$-mnogoobrazii”, Funkts. analiz i ego pril., 7:2 (1973), 15–19 | MR | Zbl
[19] Comessati A., “Problemi di realitá per le super-ficie e varietá algebriche”, Real Accad. Ital. Atti dei Connegni, 9 (1939), 15–41, Rome, 1943
[20] Kulikov Vik. S., “Vyrozhdeniya K3-poverkhnostei”, Izv. AN SSSR. Ser. matem., 41:5 (1977), 1008–1042 | MR | Zbl
[21] Mandelbaum R., 4-mernaya topologiya, Mir, M., 1982
[22] Petrowsky I., “On the Topology of Real Algebraic Curves”, Ann. Math., 39:1 (1938), 189–209 | DOI | MR | Zbl
[23] Petrovskii I. G., Oleinik O. A., “O topologii deistvitelnykh algebraicheskikh poverkhnostei”, Izv. AN SSSR. Ser. matem., 13:5 (1949), 389–402 | MR | Zbl
[24] Pyatetskii-Shapiro I. I., Shafarevich I. R., “Teorema Torelli dlya algebraicheskikh poverkhnostei tipa K3”, Izv. AN SSSR. Ser. matem., 35:3 (1971), 530–572
[25] Rokhlin V. A., “Novye rezultaty v teorii chetyrekhmernykh mnogoobrazii”, Dokl. AN SSSR, 84:2 (1952), 221–224 | Zbl
[26] Rokhlin V. A., “Sravneniya po modulyu 16 v shestnadtsatoi probleme Gilberta”, Funkts. analiz i ego pril., 6:4 (1972), 58–64 ; 7:2 (1973), 91–92 | MR | Zbl | Zbl
[27] Rokhlin V. A., “Kompleksnye orientatsii veschestvennykh algebraicheskikh krivykh”, Funkts. analiz i ego pril., 8:4 (1974), 71–75 | MR | Zbl
[28] Rokhlin V. A., “Kompleksnye topologicheskie kharakteristiki veschestvennykh algebraicheskikh krivykh”, Uspekhi matem. nauk, 33:5 (1978), 77–89 | MR | Zbl
[29] Rokhlin V. A., “Novye neravenstva v topologii deistvitelnykh ploskikh algebraicheskikh krivykh”, Funkts. analiz i ego pril., 14:1 (1980), 37–43 | MR | Zbl
[30] Saint-Donat B., “Projective models of K3-surfaces”, Amer. J. Math., 96:4 (1974), 602–639 | DOI | MR | Zbl
[31] Thorn R., “Sur l'homologie des varietés algebriques reelles”, Different and Combinator Topol., Univ. Press, Princeton, N.Y., 1965, 255–265
[32] Todorov A. N., “Applications of the Kähler–Einstein–Calabi–Yau metric to moduli of K3 surfaces”, Invent. Math., 61:3 (1980), 251–265 | DOI | MR | Zbl
[33] Tyurin A. N., “Lokalnyi invariant rimanova mnogoobraziya”, Izv. AN SSSR. Ser. matem., 45:4 (1981), 824–850 | MR
[34] Kharlamov V. M., “Maksimalnoe chislo komponent poverkhnosti 4-i stepeni v $RP^3$”, Funkts. analiz i ego pril., 6:4 (1972), 101 | MR | Zbl
[35] Kharlamov V. M., “Novye sravneniya dlya eilerovoi kharakteristiki veschestvennykh algebraicheskikh mnogoobrazii”, Funkts. analiz i ego pril., 7:2 (1973), 74–78 | MR | Zbl
[36] Kharlamov V. M., “Obobschennoe neravenstvo Petrovskogo”, Funkts. analiz i ego pril., 8:2 (1974), 50–56 ; 9:3 (1975), 93–94 | MR | Zbl | MR | Zbl
[37] Kharlamov V. M., “Dopolnitelnye sravneniya dlya eilerovoi kharakteristiki chetnomernykh algebraicheskikh mnogoobrazii”, Funkts. analiz i ego pril., 9:2 (1975), 51–60 | MR | Zbl
[38] Kharlamov V. M., “Topologicheskie tipy neosobykh poverkhnostei stepeni 4 v $RP^3$”, Funkts. analiz i ego pril., 10:4 (1976), 55–68 | MR | Zbl